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Finding the Fourth Proportional to 152,903.20, 228,706.80 and 137,221.60

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Solution

The fourth proportional to 152,903.20, 228,706.80 and 137,221.60 is: 205,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,903.20 : 228,706.80 = 137,221.60 : x
  2. Step 2: Convert to fraction form
    152,903.20/228,706.80 = 137,221.60/x
  3. Step 3: Cross multiply
    152,903.20x = 228,706.80 × 137,221.60
  4. Step 4: Simplify right side
    152,903.20x = 31,383,513,026.88
  5. Step 5: Solve for x
    x = 31,383,513,026.88/152,903.20
  6. Step 6: Final answer
    x = 205,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.